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Finding the Third Proportional to 103,711.50 and 156,522

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Solution

The third proportional to 103,711.50 and 156,522 is: 236,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,711.50 : 156,522 = 156,522 : x
  2. Step 2: Convert to fraction form
    103,711.50/156,522 = 156,522/x
  3. Step 3: Cross multiply
    103,711.50x = 156,522 × 156,522
  4. Step 4: Simplify right side
    103,711.50x = 24,499,136,484
  5. Step 5: Solve for x
    x = 24,499,136,484/103,711.50
  6. Step 6: Final answer
    x = 236,223.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.